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Finding the Fourth Proportional to 406.50, 560.82 and 240.72

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Solution

The fourth proportional to 406.50, 560.82 and 240.72 is: 332.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.50 : 560.82 = 240.72 : x
  2. Step 2: Convert to fraction form
    406.50/560.82 = 240.72/x
  3. Step 3: Cross multiply
    406.50x = 560.82 × 240.72
  4. Step 4: Simplify right side
    406.50x = 135,000.59
  5. Step 5: Solve for x
    x = 135,000.59/406.50
  6. Step 6: Final answer
    x = 332.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.